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Applied to a point charge with a concentric spherical surface, Gauss's law gives a field proportional to

  • A.the radius itself, growing outward
  • B.no power of the radius
  • C.the inverse square of the radius
  • D.the inverse first power of the radius

Answer: C

The enclosed charge is fixed while the area of the sphere grows as the square of the radius, so their ratio falls as the inverse square. The same reasoning gives the inverse first power for a cylinder and a constant for a box straddling a sheet.

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